Last visit was: 15 Jul 2024, 14:45 It is currently 15 Jul 2024, 14:45
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Intern
Intern
Joined: 26 Apr 2018
Posts: 34
Own Kudos [?]: 122 [46]
Given Kudos: 36
Send PM
Most Helpful Reply
Intern
Intern
Joined: 06 Nov 2014
Posts: 17
Own Kudos [?]: 37 [17]
Given Kudos: 52
Location: Viet Nam
GMAT 1: 720 Q50 V36
GMAT 2: 740 Q50 V40
GPA: 3.67
Send PM
Senior SC Moderator
Joined: 22 May 2016
Posts: 5327
Own Kudos [?]: 35758 [11]
Given Kudos: 9464
Send PM
General Discussion
Intern
Intern
Joined: 05 Jan 2017
Posts: 31
Own Kudos [?]: 50 [2]
Given Kudos: 17
Send PM
Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
2
Kudos
In A -
l -> 1/4 ------(A1)
O -> 3/4

In B -
l -> 5/8 ------ (A2)
o -> 3/8

let x be the Avg.

use weighted average formula -
w1/w2=(A2–Aavg)/(Aavg–A1)

(5/8 - x)/(x-1/4) = 4/1 --------- (this ratio is given in the question)
on solving =>
x=13/40
so lemon is 13
similarly solve for orange or we can just do 40-13=27
Answer should be 13:27 (D)
VP
VP
Joined: 07 Dec 2014
Posts: 1067
Own Kudos [?]: 1607 [1]
Given Kudos: 27
Send PM
Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
1
Kudos
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor


let x=ratio of lemon juice to total drink C
4*1/4+1*5/8=5x
x=13/40
13/(40-13)=13/27=13:27 ratio of lemon juice to orange juice in drink C
D
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19133
Own Kudos [?]: 22641 [3]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
3
Kudos
Expert Reply
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19


We have the following two ratios:

For A:

L : O = x : 3x

For B:

L : O = 5y : 3y

In drink C, we know the ratio of A : B is 4: 1; thus, we can set up the proportion:

(x + 3x)/(5y + 3y) = 4/1

4x/8y = 4

4x = 32y

x = 8y

If we let y = 1, then x = 8. So in drink A, we have L = 8 and O = 24, and in drink B, we have L = 5 and O = 3. So the total amount of L in drink C is 8 + 5 = 13 and the total amount of O in drink C is 24 + 3 = 27. So the ratio of L to O is 13/27.

Answer: D
Manager
Manager
Joined: 07 Aug 2018
Posts: 87
Own Kudos [?]: 270 [2]
Given Kudos: 247
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
Send PM
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
2
Kudos
bettatantalo wrote:
Drinks A and B are mixtures of lemon and orange juices. The ratio of lemon to orange juice is 1:3 in drink A. In drink B, the ratio of lemon to orange juices is 5 : 3. If drink A is mixed with drink B to form drink C in the ratio of 4 : 1, what is the ratio of lemon to orange juice in drink c?

a) 1 : 1

b) 2 : 1

c) 3 : 2

d) 13 : 27

e) 15 : 19

source gmat tutor


Little different approach:

\(Drink\) \(A\): \(\frac{1}{4}\) \(L\) \((lemon)\); \(Drink\) \(B\): \(\frac{5}{8}\) \(L\) \((lemon)\)

\(Drink\) \(C\): \(\frac{4}{5}Drink\) \(A\) and \(\frac{1}{5}Drink\) \(B\)

Therefore percentage of \(L\) in \(Drink\) \(C\) is:

\(\frac{4}{5}*\frac{1}{4} + \frac{1}{5}*\frac{5}{8} = \frac{13}{40}\)

Hence ratio of \(Lemon\) to \(Orange\) in \(Drink\) \(C\) is \(13:27\)
Senior Manager
Senior Manager
Joined: 30 Jun 2019
Posts: 271
Own Kudos [?]: 92 [0]
Given Kudos: 8
Send PM
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
O[4(1/4) + 5/8] = L[4(3/4) + 3/8]
O[13/8] = L[27/8]
O/L = 27/13
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 33980
Own Kudos [?]: 851 [0]
Given Kudos: 0
Send PM
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: Drinks A and B are mixtures of lemon and orange juices. The ratio of l [#permalink]
Moderator:
Math Expert
94354 posts